Question

A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?

Answer 1

Answer:

y = -½x + 1 actually

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

$-\frac{4 + 2}{6 - 2} = - \frac{2}{4} = - \frac{1}{2}$

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y - 2 = -½(x + 2)

y - 2 = -½x - 1

+ 2 + 2

_______________

y = -½x + 1

__________________________________________________________

y - 4 = -½(x + 6)

y - 4 = -½x - 3

+ 4 + 4

______________

y = -½x + 1

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

** Maybe one of your answer choices are off?